Question

Assume that a simple random sample has been selected from a normally distributed population and test the given claim. Identify the null and alternative​ hypotheses, test​ statistic, P-value, and state the final conclusion that addresses the original claim. A safety administration conducted crash tests of child booster seats for cars. Listed below are results from those​ tests, with the measurements given in hic​ (standard head injury condition​ units). The safety requirement is that the hic measurement should be less than 1000 hic. Use a 0.01 significance level to test the claim that the sample is from a population with a mean less than 1000 hic. Do the results suggest that all of the child booster seats meet the specified​ requirement?

642, 635, 1110, 562, 520, 593

What are the​ hypotheses?

A.) H0​: μ=1000 hic and H1​: μ≥1000 hic

B.) H0​: μ>1000 hic and H1​: μ<1000 hic

C.) H0​: μ=1000 hic and H1​: μ<1000 hic

D.) H0​: μ<1000 and H1​: μ≥1000 hic

Identify the test statistic. t= ___ (round to two decimals)

State the final conclusion that addresses the original claim.: Reject or Fail? Is there sufficient evidence to support the claim that the sample is from a population with a mean less than 1000 hic?

What do the results suggest about the child booster seats meeting the specified​ requirement?

Answer 1